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22000221100 = 225211132236899
BaseRepresentation
bin10100011111010100…
…001011101110101100
32002210020022000202201
4110133110023232230
5330024024033400
614035021031244
71406120536204
oct243724135654
962706260681
1022000221100
11936a607810
12431b9b5524
1320c7bcb810
1410c9bdb404
1588b67406a
hex51f50bbac

22000221100 has 144 divisors (see below), whose sum is σ = 56346393600. Its totient is φ = 7350508800.

The previous prime is 22000221017. The next prime is 22000221157. The reversal of 22000221100 is 112200022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185451 + ... + 3192349.

It is an arithmetic number, because the mean of its divisors is an integer number (391294400).

Almost surely, 222000221100 is an apocalyptic number.

22000221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28173196800).

22000221100 is an abundant number, since it is smaller than the sum of its proper divisors (34346172500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22000221100 is a wasteful number, since it uses less digits than its factorization.

22000221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22000221100 its reverse (112200022), we get a palindrome (22112421122).

The spelling of 22000221100 in words is "twenty-two billion, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 223 260 275 286 325 446 550 572 650 715 892 1100 1115 1300 1430 2230 2453 2860 2899 3575 4460 4906 5575 5798 6899 7150 9812 11150 11596 12265 13798 14300 14495 22300 24530 27596 28990 31889 34495 49060 57980 61325 63778 68990 72475 75889 89687 122650 127556 137980 144950 151778 159445 172475 179374 245300 289900 303556 318890 344950 358748 379445 448435 637780 689900 758890 797225 896870 986557 1517780 1538477 1594450 1793740 1897225 1973114 2242175 3076954 3188900 3794450 3946228 4484350 4932785 6153908 7588900 7692385 8968700 9865570 15384770 16923247 19731140 20000201 24663925 30769540 33846494 38461925 40000402 49327850 67692988 76923850 80000804 84616235 98655700 100001005 153847700 169232470 200002010 220002211 338464940 400004020 423081175 440004422 500005025 846162350 880008844 1000010050 1100011055 1692324700 2000020100 2200022110 4400044220 5500055275 11000110550 22000221100